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Finding the Fourth Proportional to 145,665.68, 200,971.71 and 88,328

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Solution

The fourth proportional to 145,665.68, 200,971.71 and 88,328 is: 121,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,665.68 : 200,971.71 = 88,328 : x
  2. Step 2: Convert to fraction form
    145,665.68/200,971.71 = 88,328/x
  3. Step 3: Cross multiply
    145,665.68x = 200,971.71 × 88,328
  4. Step 4: Simplify right side
    145,665.68x = 17,751,429,200.88
  5. Step 5: Solve for x
    x = 17,751,429,200.88/145,665.68
  6. Step 6: Final answer
    x = 121,864.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.